11. A wind turbine has three blades, each measuring 3 m from centre to tip. At a particular time, the turbine is rotating four times a minute.
a) Determine the angular velocity of the turbine in radians/second.

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Explanation:

The blade completes 4 full rotations every 1 minute. This is the same as saying it does 4 full rotations every 60 seconds.

Let's divide both parts of that by 4 to get

So "4 full rotations every 60 seconds" becomes "1 full rotation every 15 seconds".

We can then set up the following expression:

Notice that the "rotation" units cancel out when dividing. The first fraction represents having 1 rotation per 15 seconds. The second fraction is based on the fact that 1 full rotation is 2pi radians.

Simplifying that said expression leads to this:

This indicates that for every second, the blade is rotating 2pi/15 radians.

Side note: the radius of 3 meters is never used. It would only be useful if we wanted to know the linear velocity of the blade tip.

1/2*qr*rs

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b